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mart [117]
3 years ago
9

A recipe that makes 16 cookies calls for 1/4cup of sugar and 2/3cup of flour. Janelle wants toproportionally increase these amou

nts to get a new recipe using one cup of sugar.
a. Using the new recipe, how much flour should she use?
b. How many cookies can she make with the new recipe?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0
16 cookies : 1/4 cup of sugar : 2/3 cup of flour
   (x4)                 (x4)                      (x4)
64 cookies   :  1 cup of sugar  :  2 2/3 cup of flour

(a) She will need 2 2/3 cup of flour.
(b) She can make 64 cookies.
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From the markings on the diagram, we can tell E is the midpoint of BC and <u>D</u> is the midpoint of AC. We can apply the <u>triangle midsegment theorem</u>: ED = ½BA. Substituting in the expressions for the lengths and solving for x, we get x = <u>5</u>. Now, since BE = x, then BC = <u>10</u>.

<h3>What is triangle midpoint theorem?</h3>

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

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